Question

A hacker is trying to guess someone's password. the hacker knows (somehow) that the password is 6 digits long, and that each digit cound be a number between 0 and 8. assume that the hacker makes random guesses. what is the probability that the hacker guesses the password on his first try? round to four decimal places.

Answer 1

The amount of passwords possible is:
${8}^{6} = 262144$
Since he only tries once for the first try we get:
${262144}^{ - 1}$
Thus there is a:
$0.0001\%$
Chance he will guess the password on his first try.